Do I need to replace the run capacitor

depending on the specific production series of the HD56AK651

Precise Control: Standardized 24V logic manages the heat/cool fan delays for optimal airflow and heat exchanger protection

it can disrupt the pressure switch circuit

Supco FC4031 Fan Center 320720-756 Do I need to replaceThe Supco FC4031 is a versatile 40VA universal fan center designed to provide reliable low voltage control for line voltage fan motors and auxiliary circuits in HVAC R systems. As a primary direct replacement for 4031FC, this unit integrates a DPDT plug style relay (90340) and a high efficiency 40VA transformer. Engineered for field flexibility, it features multi tap primary voltages of 120VAC, 208VAC, and 240VAC to accommodate diverse power